高斯型混合双多模噪声模型分析

本文以一类高斯型混合非高斯噪声双模噪声为背景噪声,详细分析了二进制数字调制系统的抗噪声性能。为研究更一般的情形,本文提出了窄带多模过程的数学模型,进行了较详细的研究,给出了混合噪声中信号检测的一般方法,是对原建立在高斯噪声基础上通信与信号处理理论的完善和补充,有一定的普遍意义。在理论分析的基础上,最后给出了仿真结果并进行了分析。     

非高斯非平稳背景噪声中的信号检测研究

非高斯非平稳噪声的干扰问题在通信过程中是经常出现的。在非高斯非平稳背景噪声下,以前经常使用经典信号检测理论对信号进行检测,很难取得较为理想的效果。基于小波变换以及小波去噪原理,提出一种新的阈值处理方法,该方法能有效地去除噪声,使有用信号能从非高斯非平稳噪声中检测出来。实验结果表明,新方法不但去噪效果明显,而且获得了较高的分辨率和信噪比,检测性能较为理想,是对信号检测理论的一种有效推广。     

一种基于归一化峰度的抗非高斯噪声语音VAD检测方法

在多媒体会议房间中,鼓掌、咳嗽等非高斯干扰噪声常会严重影响语音处理系统的性能.为了有效地抑制非高斯干扰噪声,本文提出了一种基于线性预测残差域高阶统计量的语音VAD检测方法.该方法利用语音信号线性预测残差的归一化峰度表征语音和非语音信号在谐波数量上的差异,构造判别准则进行VAD检测,并通过预估高斯背景噪声的能量,削弱了背景噪声对VAD算法性能的影响.仿真实验结果表明,该方法能够有效地区分高斯背景噪声下的语音和非高斯噪声.     

基于高阶统计量的多模噪声中的信号检测

按照概率密度函数形状,给出了一种比较通用的非高斯噪声模型——多模噪声。多模噪声总体上属于非高斯噪声,但兼容了高斯噪声。改进了高阶统计量的双谱算法,给出一种基于双谱的多模噪声中信号的检测方法,并在此基础上结合无惯性非线性变换器和双谱技术,改进了传统的自适应幅频干扰抑制器,可以精确估计或检测信号。仿真表明该方法可以抑制高斯噪声,同时在强噪声和复杂背景下可以以较高的检测概率检测出信号,优于传统的似然比检测。     

基于小波包变换的双模噪声中信号的检测

以一类非高斯噪声———双模噪声为背景噪声,利用小波包变换良好的时频分析能力,对双模噪声的统计特性进行了研究,在此基础上,将经典最优检测器的结论推广到背景噪声为双模噪声的情况,提出了基于小波包变换的双模噪声中信号的检测方法。他是对传统的双模噪声中信号处理的完善与补充,仿真结果表明,该方法要明显优于经典检测。     

基于小波包变换的非高斯噪声信号结构分析

该文利用小波包变换的时频局部分析能力,研究了非高斯分布平稳随机噪声的统计特性,揭示了 非高斯噪声信号的信号结构。在此基础上,将经典最优检测器的结论推广到背景噪声为非高斯分布的情况, 提出了一种基于小波包变换的非高斯噪声下的信号检测方法。仿真实验验证了该方法是正确的。     

多模噪声理论及其在通信保密中的应用

给出了一种比较通用的非高斯噪声模型——多模噪声,采用无惯性非线性变换器给出了多模噪声中信号的检测与估计方法,该方法对概率密度函数形状对称的噪声是普遍适用的。在此基础上设计了可用于通信保密的多模噪声,说明了本加密方法适用于无线通信信道加密,并从统计分析的角度研究了可能的密码分析方法。     

非高斯噪声下的信号检测算法与性能分析

为改善非高斯背景噪声下的信号检测性能,提出了采用非线性阈值系统的信号检测算法.该算法首先利用阈值系统对接收信号进行预处理,其次采用最小平均错误概率准则对预处理后的信号进行检测,最后推导了所提检测算法的误码率解析表达式并给出仿真验证.理论分析和仿真结果表明:在高斯背景噪声下,线性最佳检测算法的检测性能优于所提检测算法;在非高斯背景噪声下,所提检测算法的检测性能较线性最佳检测算法有显著提升.     

双模非高斯噪声背景下级联双稳态随机共振信号检测

针对随机共振(SR)以高斯噪声为研究背景的局限性,为了分析非高斯噪声对级联随机共振的影响且验证在双模非高斯噪声中级联随机共振的降噪及波形整形特性的可靠性,提出了级联双稳随机共振系统在双模非高斯情况下的微弱信号检测方法。输入信号在进行信号检测过程中,首先把概率密度函数作为随机共振现象的衡量指标,然后当系统处于最佳随机共振状态时,分析了非高斯参数、相关时间及噪声强度之间的关系。最后通过仿真证实,与一级SR相比,二级SR的噪声强度和相关时间的可用范围随着非高斯参数的减少不仅会得到增大,而且滤波特性、信号检测效果得到明显提高。     

基于LPC高阶统计量语音活动检测算法的设计与实现

论文提出了一种基于LPC残差信号高阶统计量对加性噪声中的确定性信号及非高斯随机信号进行检测的方法,通过理论分析与实验结果表明,高阶统计量能有效地解决客观存在的非高斯及非线性问题,是现代信号分析与处理研究的重要内容,这种检测方法对加性噪声是否有色或是否为高斯分布并不敏感,而只要求噪声具有对称的概率密度函数。利用这种方法对确定性LPC残差信号进行检测的性能与已知波形时匹配滤波器的检测性能要好。利用这种方法还非常易于实现非高斯随机信号的检测。     

Detection of non-Gaussian signals using integrated polyspectrum

We consider the problem of detecting an unknown, random, stationary, non-Gaussian signal in Gaussian noise of unknown correlation structure. The same framework applies if one desires to determine whether the given random signal is non-Gaussian. The most commonly used method for detection of random signals is the so-called energy detector, which cannot distinguish between Gaussian and non-Gaussian signals and requires the knowledge of the noise power. Recently, the use of bispectrum and/or trispectrum of the signal has been suggested for detection of non-Gaussian signals. The higher order spectra-based detectors do not require the knowledge of the noise statistics if the noise is Gaussian. In this paper, we suggest the use of an integrated polyspectrum (bispectrum of trispectrum) to improve computational efficiency of the detectors based on polyspectrum and to possibly further enhance their detection performance. We investigate conditions under which use of the integrated polyspectrum is appropriate. The detector structure is derived, acid its performance is evaluated via simulations and comparisons with several other existing approaches     

Detection of weak signals in non-Gaussian noise

A locally optimum detector structure is derived for the detection of weak signals in non-Gaussian environments. Optimum performance is obtained by employing a zero-memory nonlinearity prior to the matched filter that would be optimum for detecting the signal were the noise Gaussian. The asymptotic detection performance of the locally optimum detector under non-Gaussian conditions is derived and compared with that for the corresponding detector optimized for operations in Gaussian noise. Numerical results for the asymptotic detection performance are shown for signal detection in noise environments of practical interest.     

Innovations informational equivalence for a class of observationswith independent non-Gaussian noise

The problem of innovations informational equivalence for observations with non-Gaussian additive noise is addressed. It is assumed that the additive noise is a non-Gaussian continuous martingale with an almost surely absolutely continuous quadratic covariation process. Under the assumptions of stochastic independence between the signal and the noise and of square integrability conditions on them, it is shown that the non-Gaussian innovations process, i.e., a non-Gaussian martingale adapted to the observation, is informationally equivalent to the observation     

Optimum diversity detection over fading dispersive channels withnon-Gaussian noise

We consider the problem of M-ary signal detection over a single-input-multiple-output (SIMO) channel affected by frequency-dispersive Rayleigh-distributed fading and corrupted by additive non-Gaussian noise, modeled as a spherically invariant random process. We derive both the optimum detection structure and a suboptimal, reduced-complexity receiver, based on the low-energy-coherence approach. Interestingly, both detection structures are canonical, i.e., they are independent of the actual noise statistics. We also carry out a performance analysis of both receivers, with reference to the case that the channel is affected by a frequency-selective fading and for a binary frequency-shift-keying signaling format. The results obtained through both a Chernoff-bounding technique and Monte Carlo simulations reveal that the adoption of diversity also represents a suitable means to restore performance in the presence of dispersive fading and impulsive non-Gaussian noise. Interestingly, it is also shown that the suboptimal receiver incurs a limited loss with respect to the optimum (unrealizable) receiving structure     

非高斯杂波中知识辅助的信号检测算法

杂波的非高斯性会严重影响到常规信号检测算法的性能,提高非高斯杂波中信号检测性能是雷达信号检测领域的一个研究重点。本文考虑了一种在非高斯杂波中,利用先验信息进行信号检测的方法。假定杂波统计特性满足复合高斯模型,即可以表示为散斑分量与纹理分量的乘积。选择逆伽马分布作为纹理分量的先验分布,基于贝叶斯方法,给出了一种知识辅助的信号检测算法。计算机仿真结果表明,该检测算法的检测性能优于常规的自适应检测算法。进一步,本文采用McMaster大学的IPIX雷达海杂波数据作为研究对象,利用最大似然估计获得杂波非高斯性的先验信息,分析了该算法在实测数据中的检测性能。分析结果表明,在不同的雷达分辨率海杂波中,该算法也具有较好的检测性能。